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Finding the Fourth Proportional to 472,394,648.70, 708,591,973.05 and 165,576,044.70

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Solution

The fourth proportional to 472,394,648.70, 708,591,973.05 and 165,576,044.70 is: 248,364,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,648.70 : 708,591,973.05 = 165,576,044.70 : x
  2. Step 2: Convert to fraction form
    472,394,648.70/708,591,973.05 = 165,576,044.70/x
  3. Step 3: Cross multiply
    472,394,648.70x = 708,591,973.05 × 165,576,044.70
  4. Step 4: Simplify right side
    472,394,648.70x = 117,325,856,203,787,984
  5. Step 5: Solve for x
    x = 117,325,856,203,787,984/472,394,648.70
  6. Step 6: Final answer
    x = 248,364,067.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.